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    STUDIA MATHEMATICA - Issue no. 1 / 2005  
         
  Article:   ON GENERALIZED DIFFERENCE LACUNARY STATISTICAL CONVERGENCE.

Authors:  BINOD CHANDRA TRIPATHY, MIKAIL ET. 		 
       
         
  Abstract:  The purpose of this paper is to introduce the concept of ∆m- lacunary statistical convergence and ∆m-lacunary strongly convergence and examine some properties of these sequence spaces. We establish some connections between ∆m-lacunary strongly convergence and ∆m-lacunary statistical convergence. It is shown that if a sequence is ∆m-lacunary strongly convergent then it is ∆m-lacunary statistically convergent. We also show that the space SӨ(∆m) may be represented as a [f, p, ∆]( ∆m) space.  
         
     
         
         
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